Use the table to answer the question. Soccer Baseball Basketball TOTAL 15 and Under 16 20 8 44 Over 15 17 38 24 79 TOTAL 33 58 32 123 A survey was conducted at a local sports club about the participation of children in various sports. The children were split into two age groups, 15 and under and over 15, and they recorded the number of children who play soccer, baseball, and basketball. What is the probability that a student chosen at random is over 15 or plays basketball? Enter your answer as a fraction; you do not need to reduce the fraction. (1 point)

1 answer

First, we need to find the total number of children who are over 15 or play basketball.

In the table, the total number of children who are over 15 is 79 and the total number of children who play basketball is 32. However, we need to be careful not to count the children who are over 15 and play basketball twice.

Therefore, the total number of children who are over 15 or play basketball is 79 + 32 - 24 (the number of children who are over 15 and play basketball) = 87.

The total number of children in the survey is 123.

Therefore, the probability that a student chosen at random is over 15 or plays basketball is 87/123.

So, the answer is 87/123.
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